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Finding the Third Proportional to 595,634 and 1,296,220

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Solution

The third proportional to 595,634 and 1,296,220 is: 2,820,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,634 : 1,296,220 = 1,296,220 : x
  2. Step 2: Convert to fraction form
    595,634/1,296,220 = 1,296,220/x
  3. Step 3: Cross multiply
    595,634x = 1,296,220 × 1,296,220
  4. Step 4: Simplify right side
    595,634x = 1,680,186,288,400
  5. Step 5: Solve for x
    x = 1,680,186,288,400/595,634
  6. Step 6: Final answer
    x = 2,820,836.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.